2112100000011 has 24 divisors (see below), whose sum is σ = 3064317839856. Its totient is φ = 1401834424320.

The previous prime is 2112099999979. The next prime is 2112100000013. The reversal of 2112100000011 is 1100000012112.

It is a happy number.

It is not a de Polignac number, because 2112100000011 - 2⁵ = 2112099999979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2112099999939 and 2112100000002.

It is not an unprimeable number, because it can be changed into a prime (2112100000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16445716 + ... + 16573646.

It is an arithmetic number, because the mean of its divisors is an integer number (127679909994).

Almost surely, 2^{2112100000011} is an apocalyptic number.

2112100000011 is a deficient number, since it is larger than the sum of its proper divisors (952217839845).

2112100000011 is a wasteful number, since it uses less digits than its factorization.

2112100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136043 (or 136040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2112100000011 its reverse (1100000012112), we get a palindrome (3212100012123).

The spelling of 2112100000011 in words is "two trillion, one hundred twelve billion, one hundred million, eleven", and thus it is an aban number.